Lourdes Rodr'iguez-Mesa

activity

20232026

collaborators

4 papers

math.AP2026

The logarithmic $p$ -Laplacian on hyperbolic spaces

Jorge J. Betancor, Lourdes Rodr\'ıguez-Mesa

In this paper, the logarithmic $p$ -Laplacian operator $lo g (- Δ_{H^{n}})_{p}$ on the hyperbolic space $H^{n}$ , with $n \geq 2$ , is introduced. We prove that if $f$ is a l…

math.CA2026

Extension theorems for logarithmic Schrödinger and discrete Laplacian operators

Jorge J. Betancor, Marta de León-Contreras, Lourdes Rodríguez-Mesa

In this paper we consider logarithmic operators in two different contexts: the adapted to (continuous) Schrödinger operators and the classical discrete setting. The Schrödinger ope…

math.CA2024

$L^{p}$ -boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces

Jorge J. Betancor, Juan C. Fariña, Lourdes Rodríguez-Mesa

We consider the Laplacian with drift in $R^{n}$ defined by $Δ_{ν} = \sum_{i = 1}^{n} (\frac{\partial ^{2}}{\partial x _{i}^{2}} + 2 ν_{i} \frac{\partial}{\partial x _{i}})$ where $ν=(ν_1,\ldots,…

math.CA2023

Harmonic analysis operators in the rational Dunkl settings

Víctor Almeida, Jorge J. Betancor, Juan C. Fariña +1

In this paper we study harmonic analysis operators in Dunkl settings associated with finite reflection groups on Euclidean spaces. We consider maximal operators, Littlewood-Paley f…

The logarithmic p-Laplacian on hyperbolic spaces

Extension theorems for logarithmic Schrödinger and discrete Laplacian operators

Lp-boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces

Harmonic analysis operators in the rational Dunkl settings

The logarithmic $p$ -Laplacian on hyperbolic spaces

$L^{p}$ -boundedness properties for some harmonic analysis operators defined by resolvents for a Laplacian with drift in Euclidean spaces